Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint

Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint

This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed-forward loop is allowed while it has also...

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Main Authors: M. De la Sen, A. Ibeas, S. Alonso-Quesada
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/382762
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spelling doaj-885bceedce1144129d968b1f9fefd47c2020-11-25T02:15:45ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/382762382762Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian ConstraintM. De la Sen0A. Ibeas1S. Alonso-Quesada2Department of Electricity and Electronics, Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia), Apartado 644, 48940 Bilbao, SpainDepartment of Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona (UAB), 08193 Barcelona, SpainDepartment of Electricity and Electronics, Institute of Research and Development of Processes, University of Basque Country, Campus of Leioa (Bizkaia), Apartado 644, 48940 Bilbao, SpainThis paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed-forward loop is allowed while it has also admitted the generation of a finite or infinite number of impulsive control actions which can be combined with a general form of nonimpulsive controls. The asymptotic hyperstability property is guaranteed under a set of sufficiency-type conditions for the impulsive controls.http://dx.doi.org/10.1155/2013/382762
collection DOAJ
language English
format Article
sources DOAJ
author M. De la Sen
A. Ibeas
S. Alonso-Quesada
spellingShingle M. De la Sen
A. Ibeas
S. Alonso-Quesada
Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint
Abstract and Applied Analysis
author_facet M. De la Sen
A. Ibeas
S. Alonso-Quesada
author_sort M. De la Sen
title Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint
title_short Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint
title_full Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint
title_fullStr Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint
title_full_unstemmed Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint
title_sort asymptotic hyperstability of a class of linear systems under impulsive controls subject to an integral popovian constraint
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems. The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed-forward loop is allowed while it has also admitted the generation of a finite or infinite number of impulsive control actions which can be combined with a general form of nonimpulsive controls. The asymptotic hyperstability property is guaranteed under a set of sufficiency-type conditions for the impulsive controls.
url http://dx.doi.org/10.1155/2013/382762
work_keys_str_mv AT mdelasen asymptotichyperstabilityofaclassoflinearsystemsunderimpulsivecontrolssubjecttoanintegralpopovianconstraint
AT aibeas asymptotichyperstabilityofaclassoflinearsystemsunderimpulsivecontrolssubjecttoanintegralpopovianconstraint
AT salonsoquesada asymptotichyperstabilityofaclassoflinearsystemsunderimpulsivecontrolssubjecttoanintegralpopovianconstraint
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